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Finding the Third Proportional to 53,769.45 and 83,217.06

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Solution

The third proportional to 53,769.45 and 83,217.06 is: 128,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,769.45 : 83,217.06 = 83,217.06 : x
  2. Step 2: Convert to fraction form
    53,769.45/83,217.06 = 83,217.06/x
  3. Step 3: Cross multiply
    53,769.45x = 83,217.06 × 83,217.06
  4. Step 4: Simplify right side
    53,769.45x = 6,925,078,841.00
  5. Step 5: Solve for x
    x = 6,925,078,841.00/53,769.45
  6. Step 6: Final answer
    x = 128,792.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.